Fixed point theorems and almost continuity

Vladimir Akis

Displaying similar documents to “Fixed point theorems and almost continuity”

On R-compact spaces

F. Cammaroto, T. Noiri (1989)

Matematički Vesnik

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Quasi-equivalence of compacta and spaces of components.

José M. Rodríguez Sanjurjo (1980)

Collectanea Mathematica

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Let X, Y be two compacta with Sh(X) = Sh (Y). Then, the spaces of components of X, Y are homeomorphic. This does not happen, in general, when X, Y are quasi-equivalent. In this paper we give a sufficient condition for the existence of a homeomorphism between the spaces of components of two quasi-equivalent compacta X, Y which maps each component in a quasi-equivalent component.

Almost continuous functions of two variables.

A. Maliszewski, T. Natkaniec (1993)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

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On a question of Borsuk concerning non-continuous retracts II

Kenneth Kellum (1976)

Fundamenta Mathematicae

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Borsuk's quasi-equivalence is not transitive

Andrzej Kadlof, Nikola Koceić Bilan, Nikica Uglešić (2007)

Fundamenta Mathematicae

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Borsuk's quasi-equivalence relation on the class of all compacta is considered. The open problem concerning transitivity of this relation is solved in the negative. Namely, three continua X, Y and Z lying in ℝ³ are constructed such that X is quasi-equivalent to Y and Y is quasi-equivalent to Z, while X is not quasi-equivalent to Z.